Question

at salem consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. according to the table, when was the rate of change greater? between 2013 and 2015 between 2014 and 2016

Explanation:

Step1: Calculate rate of change between 2013 and 2015

Rate of change formula: $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 2013$, $y_1 = 32$, $x_2 = 2015$, $y_2 = 44$.
$\frac{44 - 32}{2015 - 2013}=\frac{12}{2} = 6$

Step2: Calculate rate of change between 2014 and 2016

Using the same formula, $x_1 = 2014$, $y_1 = 48$, $x_2 = 2016$, $y_2 = 56$.
$\frac{56 - 48}{2016 - 2014}=\frac{8}{2}=4$

Answer:

between 2013 and 2015